Computational Method of Optimal Control Problem Using Mathematical Programming (2nd Report). Introduction of Block Diagonal Hessian Method.
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- TSUCHIYA Takeshi
- 東京大学工学系研究科航空宇宙工学専攻
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- SUZUKI Shinji
- 東京大学工学系研究科航空宇宙工学専攻
Bibliographic Information
- Other Title
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- 数理計画法を用いた最適制御問題解法に関する研究(その2) ブロック対角へシアン法の提案
- スウリ ケイカクホウ オ モチイタ サイテキ セイギョ モンダイカイホウ ニ
- Introduction of Block Diagonal Hessian Method
- ブロック対角ヘシアン法の提案
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Abstract
This paper considers a numerical method to solve optimal control problems which are formulated by a mathematical programming. In this 2nd report, A new method named Block Diagonal Hessian (BDH) method is proposed. This proposed method transforms the optimal control problem into a new formulated nonlinear programming problem. Considering that the nonlinear programming problem is solved by using a sequential quadratic programming method, the diagonal form of the Hessian matrix for the Lagrange function is introduced in BDH method. The BDH method is applied to a simple optimization problem and its characteristics are compared with those of other methods. As a result, though the accuracy of the BDH method is lower than that of the other methods, the BDH converges quickly and has robust characteristics in the selection of the nominal solution. Through this study, the effectiveness of the BDH method was confirmed.
Journal
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- Aeronautical and Space Sciences Japan
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Aeronautical and Space Sciences Japan 46 (536), 497-503, 1998
THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES
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Details 詳細情報について
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- CRID
- 1390282679454739200
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- NII Article ID
- 10002863060
- 10006240675
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- NII Book ID
- AN00189072
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- ISSN
- 24241369
- 00214663
- http://id.crossref.org/issn/00214663
- http://id.crossref.org/issn/13446460
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- NDL BIB ID
- 4553826
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed